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2 years ago

Thomas earns 15 mowing lawns over 3 days. How much money would he earn in 4 days if he earned the same amount every day

Mathematics

2 answers:

gladu [14]2 years ago

7 0

Answer: 20 Dollars

Step-by-step explanation:

15 divided by 3 is 5. So, then multiply 4x5 and that equals 20

Blababa [14]2 years ago

7 0

Answer:

$20

Step-by-step explanation:

$15 for mowing lawns for 3 days

15 / 3 = 5

He charges $5 for each lawn he mows.

5 * 4 = 20

So for 4 days he would earn $20 from mowing the lawns

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Write the vector v in the form aiplusbj, given its magnitude left norm Bold v right norm and the angle alpha it makes with the

photoshop1234 [79]

Answer:

$6\sqrt{3}i-6j$

Step-by-step explanation:

Given:

The magnitude, v=12

The angle $\alpha$ it makes with the positive x-axis = $150^0$

Now for a vector (x,y)

$\alpha =tan^{-1}(\frac{y}{x} )$ ; and

$v=\sqrt{x^2+y^2}$

Therefore:

$150 =tan^{-1}(\frac{y}{x} )\\\frac{y}{x} =tan 150\\\frac{y}{x}=-\frac{\sqrt{3} }{3}$

$y=-\frac{x \sqrt{3}}{3}$

Similarly:

$v=\sqrt{x^2+y^2}\\12=\sqrt{x^2+y^2}\\12^2=x^2+y^2\\144=x^2+y^2$

$144=x^2+(-\frac{x \sqrt{3}}{3} )^2\\144=x^2+\frac{3x^2}{9} \\144=\frac{4x^2}{3}\\4x^2=144 X 3=432\\x^2=108\\x=6\sqrt{3}$

Recall that:

$y=-\frac{x \sqrt{3}}{3}\\y=-\frac{6\sqrt{3} \sqrt{3}}{3}=-6$

Therefore: $(x,y)=(6\sqrt{3}, -6)$

The vector in the form ai+bj is therefore:

$6\sqrt{3}i-6j$

6 0

2 years ago

Which table represents the graph of a logarithmic function with both an x-and y-intercept?

Alex

its the second option on edge

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2 years ago

the function t(n) 8n represents the number of tires t(n) that are needed for n trucks. if t(n)=200. what is the value of n?

mr_godi [17]

Step-by-step explanation:

if I understand correctly, then the function is

t(x) = 8x

now we know, that for a specific n

t(n) = 200

that means

200 = 8n

n = 200/8 = 25

the function tells us, that for 25 trucks we need 200 tires.

8 0

1 year ago

please help! and don’t just guess and comment an answer , please show work that you actually did it <3

yan [13]

It’s B because 2 quarts equal 0.5 gallons

4 0

2 years ago

On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).

nadezda [96]

Answer:

Step-by-step explanation:

We can use the distance formula

d = sqrt ( ( y2-y1)^2 + ( x2-x1) ^2)

d = sqrt ( ( 4- -3)^2 + ( -4 -2) ^2)

= sqrt ( ( 7^2 + ( -6)^2)

= sqrt( 49+ 36)

= sqrt(85)

9.219544457

Rounding to the nearest whole number

= 9

5 0

2 years ago